Problem 54GP

As the three small sailboats shown in Figure drift next to a dock, because of wind and water currents, students pull on a line attached to the bow and exert forces of equal magnitude F. Each boat drifts through the same distance d. Rank the three boats (A, B, and C) in order of increasing work done on the boat by the force F. Indicate tics where appropriate.

FIGURE

Solution 54GP

Step 1 of 2

We have to rank the three boats in order of increasing work done on the boat by the force .

The work done on the boats () by the force can be calculated using the expression,

Where,

Force applied on the boat

distance through which the boat drifts

angle between the force applied and the direction of drift

Now, and are same for all the boats and